doi:10.1016/j.cam.2017.03.003engGracia, J. L.O'Riordan, E.A singularly perturbed convection–diffusion problem with a moving pulseART-2017-98509A singularly perturbed parabolic equation of convection–diffusion type is examined. Initially the solution approximates a concentrated source. This causes an interior layer to form within the domain for all future times. Using a suitable transformation, a layer adapted mesh is constructed to track the movement of the centre of the interior layer. A parameter-uniform numerical method is then defined, by combining the backward Euler method and a simple upwinded finite difference operator with this layer-adapted mesh. Numerical results are presented to illustrate the theoretical error bounds established.2017http://zaguan.unizar.es/record/6128210.1016/j.cam.2017.03.003http://zaguan.unizar.es/record/61282oai:zaguan.unizar.es:61282info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-RJournal of Computational and Applied Mathematics 321 (2017), 371-388by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess